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A characterization for the limit points of double sequences

Patterson R.

Demonstratio Mathematica

1999

Vol. 32, nr 4

775-780

In 1944 R.P Agnew characterized limit points of single dimensional sequences by provIng the following: Let A be regular and let xn be a bounded complex sequence, then there exIsts a subsequence yn of xn such that the set Ly of limit points of the transform Yn of yn includes the set Lx of limit points of the sequence xn . In this paper we shall use the definition of Pringsheim limit points in [6] to present a multidimensional analogues of Agnew result in [1].